Use the image to answer the question.

Question

Two parallel horizontal lines are drawn. The top line is labeled f and the bottom line is labeled m. A slanted line intersects both parallel lines at points upper A and upper B, respectively. Four other points are labeled, and three arcs are drawn.

The final step of a construction is shown in the diagram. Select the correct statement based on the diagram.

(1 point)
Responses

m∥f
m parallel to f

AQ¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯
Modifying above upper A upper Q with bar perpendicular to Modifying above upper B upper B with bar

AP¯¯¯¯¯¯¯¯≅AC¯¯¯¯¯¯¯¯
Modifying above upper A upper P with bar congruent to Modifying above upper A upper C with bar

BC¯¯¯¯¯¯¯¯≅AC¯¯¯¯¯¯¯¯

Answer 1

Based on the description provided, let's analyze each statement:

1. \( m \parallel f \): This statement indicates that the lines \( m \) and \( f \) are parallel. Given that the diagram features two parallel horizontal lines with a transversal intersecting them, this statement is likely true.

2. \( AQ \perp BD \): This statement claims that line segment \( AQ \) is perpendicular to line segment \( BD \). This would depend on the specific angles formed in the diagram, which we can't determine from just the description.

3. \( AP \cong AC \): This statement claims that line segments \( AP \) and \( AC \) are congruent. Whether this is true depends on the lengths indicated in the diagram, which we cannot confirm from the description provided.

4. \( BC \cong AC \): This statement claims that line segments \( BC \) and \( AC \) are congruent. As with the previous statements, we cannot confirm this based on the description alone.

Given the description that \( m \) and \( f \) are parallel lines, the most universally applicable and clear true statement without further information about angles or lengths would be:

\( m \parallel f \) (or \( m \) parallel to \( f \)).

So the correct response would be:

m parallel to f.